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Finding the Fourth Proportional to 436.30, 652.79 and 266.63

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Solution

The fourth proportional to 436.30, 652.79 and 266.63 is: 398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.30 : 652.79 = 266.63 : x
  2. Step 2: Convert to fraction form
    436.30/652.79 = 266.63/x
  3. Step 3: Cross multiply
    436.30x = 652.79 × 266.63
  4. Step 4: Simplify right side
    436.30x = 174,050.80
  5. Step 5: Solve for x
    x = 174,050.80/436.30
  6. Step 6: Final answer
    x = 398.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.